5/6+1/2=13/12x eching

$$\frac{ 5 }{ 6 } + \frac{ 1 }{ 2 } = \frac{ 13 }{ 12 } x$$

x uchun yechish

$$x = \frac{16}{13} = 1\frac{3}{13} \approx 1,230769231$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

6 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{5}{6} va \frac{1}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{6}+\frac{3}{6}=\frac{13}{12}x$$

\frac{5}{6} va \frac{3}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5+3}{6}=\frac{13}{12}x$$

8 olish uchun 5 va 3'ni qo'shing.

$$\frac{8}{6}=\frac{13}{12}x$$

\frac{8}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{4}{3}=\frac{13}{12}x$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{13}{12}x=\frac{4}{3}$$

Ikki tarafini \frac{12}{13} va teskari kasri \frac{13}{12} ga ko‘paytiring.

$$x=\frac{4}{3}\times \frac{12}{13}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{3} ni \frac{12}{13} ga ko‘paytiring.

$$x=\frac{4\times 12}{3\times 13}$$

\frac{4\times 12}{3\times 13} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{48}{39}$$

\frac{48}{39} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{16}{13}$$